Abstract and Applied Analysis

Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces

Zhi-bin Liu, Yi-shen Chen, Xue-song Li, and Yi-bin Xiao

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Abstract

This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ -convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the strong convergence theorems of implicit Ishikawa iteration sequences for nonexpansive semigroups in the CAT(0) spaces. The results presented in this paper extend and generalize some previous results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 503198, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393442737

Digital Object Identifier
doi:10.1155/2013/503198

Mathematical Reviews number (MathSciNet)
MR3073482

Zentralblatt MATH identifier
1364.47035

Citation

Liu, Zhi-bin; Chen, Yi-shen; Li, Xue-song; Xiao, Yi-bin. Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 503198, 8 pages. doi:10.1155/2013/503198. https://projecteuclid.org/euclid.aaa/1393442737


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